4,102,904

2³ × 13 × 39451

Starting at 4,102,904, the Collatz iteration reaches 1 after 79 steps. The first transition is 2051452; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 13 × 39451

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 8,284,920

Proper Divisor Sum 4,182,016

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #4102883 ← → #4102907

Radix Representation

Decimal	4102904
Binary	1111101001101011111000 (22 bits)
Octal	0o17515370
Hexadecimal	0x3E9AF8

Divisor Catalog (16)

1 2 4 8 13 26 52 104 39,451 78,902 157,804 315,608 512,863 1,025,726 2,051,452 4,102,904

Collatz Trajectory (79 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

4,102,904 2,051,452 1,025,726 512,863 1,538,590 769,295 2,307,886 1,153,943 3,461,830 1,730,915 5,192,746 2,596,373 7,789,120 3,894,560 1,947,280 973,640 486,820 243,410 121,705 365,116 182,558 91,279 273,838 136,919 410,758 205,379 616,138 308,069 924,208 462,104 231,052 115,526 57,763 173,290 86,645 259,936 129,968 64,984 32,492 16,246 8,123 24,370 12,185 36,556 18,278 9,139 27,418 13,709 41,128 20,564 10,282 5,141 15,424 7,712 3,856 1,928 964 482 241 724

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